Answer: b) 3
<u>Step-by-step explanation:</u>
From K to L the y-length is 2 and the x-length is 1
From K' to L' the y-length is 6 and the x-length is 3
Therefore, J'K'L' is 3 times as large as JKL so the dilation is 3.
Step-by-step explanation:
3.5 more than the quotient of h and 5 is w
Solution,
Let the number be x, then
Answer:
(x, y, z) = (7, 9, 90)
Step-by-step explanation:
The two acute angles between l1 and l2 are vertical, so congruent.
(9x -7) = 8x
x = 7 . . . . . . . . . add 7-8x
These are supplementary to the obtuse angle between those lines:
8(7) + (13y +7) = 180
13y = 117 . . . . subtract 63
y = 9 . . . . . . . divide by 13
The angle marked z is supplementary to the angle marked as a right angle.
z + 90 = 180
z = 90
Answer: I believe it is a 90 degree angle.
Complete question is;
A 10 cm thick grindstone is initially 200 cm in diameter, and it is wearing away at a rate of 50 cm/hr. At what rate is its diameter decreasing?
Answer:
Diameter is decreasing at the rate of 5/(2πr) cm/hr
Step-by-step explanation:
We are told the stone is wearing away at a rate of 50 cm/hr. This means the volume is decreasing. Thus;
dV/dt = -50 cm/hr
Now, a grindstone is in the shape of a cylinder. Thus, volume of grindstone is;
V = πr²h
dV/dr = 2πrh
Now,to find the rate at which the diameter is decreasing, we'll write;
dr/dt = (dV/dt)/(dV/dr)
dr/dt = -50/(2πrh)
We are given;
Diameter = 200 cm
Radius; r = 200/2 = 100 cm
Thickness; h = 10 cm
Thus;
dr/dt = -50/(2π × r × 10)
dr/dt = -5/(2πr) cm/hr
